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Finding the Third Proportional to 54,308.53 and 113,582.67

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Solution

The third proportional to 54,308.53 and 113,582.67 is: 237,550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,308.53 : 113,582.67 = 113,582.67 : x
  2. Step 2: Convert to fraction form
    54,308.53/113,582.67 = 113,582.67/x
  3. Step 3: Cross multiply
    54,308.53x = 113,582.67 × 113,582.67
  4. Step 4: Simplify right side
    54,308.53x = 12,901,023,350.26
  5. Step 5: Solve for x
    x = 12,901,023,350.26/54,308.53
  6. Step 6: Final answer
    x = 237,550.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.